Base | Representation |
---|---|
bin | 1111100000100… |
… | …01101101000000 |
3 | 100001210120002000 |
4 | 13300101231000 |
5 | 231301032221 |
6 | 20524224000 |
7 | 3136540305 |
oct | 760215500 |
9 | 301716060 |
10 | 130095936 |
11 | 67488003 |
12 | 3769b000 |
13 | 20c50359 |
14 | 133c70ac |
15 | b64be26 |
hex | 7c11b40 |
130095936 has 112 divisors (see below), whose sum is σ = 387705600. Its totient is φ = 42771456.
The previous prime is 130095929. The next prime is 130095961. The reversal of 130095936 is 639590031.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 130095936.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136036 + ... + 136988.
Almost surely, 2130095936 is an apocalyptic number.
130095936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193852800).
130095936 is an abundant number, since it is smaller than the sum of its proper divisors (257609664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130095936 is an equidigital number, since it uses as much as digits as its factorization.
130095936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).
The product of its (nonzero) digits is 21870, while the sum is 36.
The square root of 130095936 is about 11405.9605470123. The cubic root of 130095936 is about 506.7042846800.
The spelling of 130095936 in words is "one hundred thirty million, ninety-five thousand, nine hundred thirty-six".
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